If the mean of the set of numbers x1,x2,…,xn is x¯, then the mean of the numbers xi+2i,1≤i≤n is

If the mean of the set of numbers x1,x2,,xn is x¯, then the mean of the numbers xi+2i,1in is

  1. A

    x¯+2n

  2. B

    x¯+n+1

  3. C

    x¯+2

  4. D

    x¯+n

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    Solution:

    x¯=1ni=1nxi i=1nxi=nx¯ Let  M=1ni=1nxi+2i=1ni=1nxi+2(1+2++n)n M=1nnx¯+2n(n+1)2n M=x¯+(n+1)

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